Once the colony really gets rolling (which may take 3-6 months), is well-fed and at a good temperature (>25°C) a Solenopsis geminata queen can lay up to 11.000 eggs per week/about 1500 eggs per day. But the workers will only live for about 3-4 months (unlike Camponotus whichg can live for several years) which limits the growth a bit (but just a bit). Also the queen usually only gets 6-7 years old.
Someone at the antkeeping forum had a fully-grown (several years old) S. geminata colony that consumed about half a can of dog food per day.

"We should respect all forms of consciousness. The body is just a vessel, a mere hull."

I thought it was an exaggeration; now my queen has now laid, 40 or more eggs as her first batch.

No it isn't. Although the egg-laying rate highly depends on the temperature, at 22°C and below even Solenopsis geminata colonies are growing rather slow.

There's a nice AC video series where you can watch the growth of a Solenopsis geminata colony.

October '13, colony doesn't even fill a single large Omni Nest:
https://youtu.be/G72OYo75zIE

Same colony in January '14:
https://youtu.be/lgJFqLDn6go

And the best thing, Solenopsis invicta (red imported fire ants, which is essentially pretty much the same) has developed strains in some US areas that are POLYGYNOUS (not just during founding but permanently).

"We should respect all forms of consciousness. The body is just a vessel, a mere hull."

You mean the time it takes for an ant to develop into an adult? That highly depends on the temperature (and the supply of proteins) but usually about 4 weeks from egg to worker.
Some small ants can do it faster and larger ants (most Camponotus, Myrmecia, etc.) often require 6-10 weeks.

"We should respect all forms of consciousness. The body is just a vessel, a mere hull."